Abstract
Laser-MIG hybrid welding experiments of 7 mm thick Invar alloy are carried out. The macro appearance of joints is observed and the influence of arc energy on the cross-section morphology is analyzed. The distribution of temperature field is simulated to explain the relationship between heat effect and microstructure. Besides, the average grain size of weld under different arc energies is quantitatively studied. The results indicate that welded joints with uniformity and good formation are obtained. The weld width and the weld seam area increase and the depth to width ratio decreases with the increase of arc heat input. The transition of columnar crystals to equiaxed crystals is observed from the fusion line to the weld center. It is found that the higher the arc energy, the coarser the columnar crystal.
Invar alloy, characterized by low thermal expansion coefficient and excellent mechanical properties, has been widely used as a potential mold material with high reliability and stabilit
For the joining of thick Invar alloy plates, several common welding technologies, such as metal inert gas welding (MIG) or laser beam welding (LBW), have certain limitation
Laser welding has been considered as a potential welding technique for its high energy density, fast welding speed, small distortion and so on. But welding defects like porosity or crack and poor gap adaptability are unavoidable problem.
The hybrid laser-arc welding technology, combining the advantages of advanced laser heat source and traditional arc heat source, has the advantages of lower heat input, deeper penetration, better bridging capacity and higher welding efficiency, and has better mechanical properties compared with the individual proces
In recent years, more and more attention has been paid to numerical simulation techniques for studying the temperature field or the thermal history of the welding proces
This paper presents a comprehensive study of weld geometry, microstructure distribution and temperature field characteristics for laser-MIG welding Invar alloy under different arc energy through experimental and numerical methods. The weld dimension and grain size are measured. The microstructure in different regions which experience different thermal effect is briefly studied, and special attention is focused on the influence of arc energy on the molten pool morphology and the thermal cycle process.
The base metal (BM) adopted in this investigation is Invar alloy plates machined to the dimension of 100 mm100 mm7 mm without groove. The Invar M93 filler wire with a diameter of 1.2 mm is used during the laser-MIG experimental process. The chemical compositions of Invar alloy base metal and Invar M93 filler wire are shown in
The experimental equipment includes KUKA Robot KR30HA, Fronius TPS-5000 welding machine and IPG YLS-6000 fiber laser, which are shown in

Fig.1 Laser-MIG experimental equipment

Fig.2 Schematic diagram of laser-MIG experiment
In the laser-MIG welding process, the laser beam is perpendicular to the workpiece and the angle of welding torch to the workpiece surface is 45°. A laser-arc distance of 3 mm is selected to ensure the coupling effect between laser heat source and arc heat source. The 99.99% argon gas with a flow rate of 15 L/min is used as the shielding gas, which shows a good protective performance in the experiment. Besides, the defocus amount applied is 0 mm. Detailed experiment parameters are shown in
Before the welding process, the oxide film of the specimen surface is removed by the milling machine, and then the specimen surface is washed with acetone to eliminate contaminants. After the welding experiment, the metallography samples are cut from weldments by wire-electrode cutting. The metallurgical specimens are grinded and polished by abrasive paper and metallographic polisher. After that, the metallurgical surfaces are etched with a corrosive reagent which contains 8% HF, 15% HNO3, 2% H3BO3 and 75% H2O to reveal the microstructure. The microstructure of the weld is observed by MR-5000 optical microscope.
In order to explain the relationship between the thermal history and the microstructure of laser-MIG welded joints, a numerical model is developed to investigate the temperature distribution of the weld. In this study, the model is solved by the finite element method and the simulation is conducted by the software MSC.Marc.

Fig.3 Geometry model and meshing of the model
For ensuring the accuracy of simulation and improving the computing efficiency, a grid meshing method which allows finer mesh in the welded zone and coarser mesh in the non-welded zone is performed. The component is ultimately meshed into 27 048 mesh elements with 34 388 nodes. In this paper, the minimum size of meshes is 1 mm×0.6 mm×0.5 mm, and the maximum is 5 mm×2 mm×1.5 mm.
A double-ellipsoid heat source (manifested in
(1) |
(2) |

Fig.4 Models of arc heat source and laser heat source
where q1(x,y,z) are q2(x,y,z) are the heat flux density of the rear and front part ellipsoid, respectively; Qr is the heat input of arc; a1, a2, b and c are the parameters to describe the shape of double ellipsoid, and f1 and f2 are the energy distribution coefficients and meet f1+f2=2.
A combined heat source consisting of Gauss surface heat source and Gauss cylinder body heat source (manifested in
(3) |
(4) |
where α is the concentration coefficient of the surface heat flux, H the depth of the body heat source, and β the attenuation coefficient; Qs and Qv are the power of the surface and body heat source, respectively, and rs and rv the effective radius of the surface and body heat source, respectively.
The relationship of Qs and Qv is subjected to the following formula
(5) |
where Ql is the heat input of laser and η the effective heat absorption coefficient.
The thermal properties of the material have a great influence on the accuracy of simulation, and the parameters required are presented in

Fig.5 Thermal properties of Invar alloy

Fig.6 Surface profile and cross-section morphology of laser-MIG welded joints
The corresponding statistics of weld width, depth, depth to width and area of joints are shown in

Fig.7 Variation of weld geometries (unit: mm)

Fig.8 Macro profile and microstructure of different areas in the weld seam
For studying the effect of arc energy on grain morphology, grain size of the columnar crystal is calculated by counting the number of columnar crystals in per unit length. As shown in Figs.

Fig.9 Grain size in weld seam region for Case 3

Fig.10 Grain size in weld seam region for Case 4
To investigate the relation between thermal effect and evolved microstructure and the influence of arc energy on molten pool morphology, the temperature field is simulated. First, the correctness of the heat source model is verified by comparing the simulated and experimental results. It is shown in

Fig.11 Calibration results of heat source

Fig.12 Molten pool shape at T = 3 s
The grain morphology is greatly determined by temperature gradient and crystallization rate.

Fig.13 Temperature and temperature gradient distributions in specific path
In the initial stage of solidification, the bottom molten pool solidifies first. Because the temperature gradient in this region is close to 0, it nucleates and mostly grows into equiaxed crystals. The temperature at the bottom is hardly affected by arc, so the lowest temperature is obtained. The grain growth is limited under the low heat input, so fine equiaxed crystals are formed. The columnar grains formed in the middle region result from the large solidification rate and grain size increases due to the coupled heat effect of laser and arc. The temperature gradient near the surface decreases and equiaxed crystals are formed. However, the temperature reaches the maximum, so the grain will further coarsen.

Fig.14 Temperature field under different arc energy
In order to study the effect of arc energy on the thermal cycle process, the thermal cycle curve of two nodes along the weld centerline is extracted respectively. As shown in

Fig.15 Thermal cycle curves of different positions
Laser-MIG hybrid welding of Invar alloy with different arc energy is performed. The influence of arc energy on weld appearance, molten pool shape and thermal cycle process is investigated. The grain size under different arc heat inputs is measured. Besides, the interrelation between thermal effect and microstructure is explained by studying the temperature field. The conclusions can be achieved as follows:
(1) The appearance of the weld surface is clean and uniform. The cross section of weld is basically “goblet” shape with wider width at the surface and narrower width at the bottom. The porosities are mostly located in the laser dominated region. With the increase of arc energy, the weld width and weld seam area show an ascending trend and the depth to width ratio shows a descending trend.
(2) The microstructure of the weld seam consists of much columnar crystals and less equiaxed crystals. From the fusion line to weld center, there is a trend of columnar crystals transformed to equiaxed crystals. From the surface to the bottom of the weld, the microstructure changes from coarse equiaxed crystals to coarse columnar crystals in the middle and fine equiaxed crystals in the bottom. It is found that grain size of the columnar crystal decrease with the decline of arc energy.
(3) The grain dimension and morphology in different areas is related to the corresponding temperature and temperature gradient. The simulated temperature field indicates that the increasing arc energy results in wider molten pool and sparser isotherm. Arc energy has a great effect on the thermal cycle process in the upper region of the weld but little on that in the bottom weld.
Contributions Statement
Ms. ZHAO Jiayi designed the experiment, conducted the analysis, and wrote the manuscript. Dr. GAO Qiyu contributed to the data anlysis and discussion of the study. Dr. ZHANG Jiahao contributed to the experimental preparation and model development. Prof. ZHAN Xiaohong revised and polished the manuscript. All authors commented on the manuscript draft and approved the submission.
Conflict of Interest
The authors declare no competing interests.
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Author Ms. ZHAO Jiayi received the B.S. degree in metallic materials engineering from Nanjing Tech University in 2020. She became a postgraduate student in Nanjing University of Aeronautics and Astronautics in September 2020. Her research is focused on the laser‑MIG welding technology of Invar alloy. [Baidu Scholar]